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Finding the Fourth Proportional to 7,683.04, 10,602.12 and 4,326.40

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Solution

The fourth proportional to 7,683.04, 10,602.12 and 4,326.40 is: 5,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.04 : 10,602.12 = 4,326.40 : x
  2. Step 2: Convert to fraction form
    7,683.04/10,602.12 = 4,326.40/x
  3. Step 3: Cross multiply
    7,683.04x = 10,602.12 × 4,326.40
  4. Step 4: Simplify right side
    7,683.04x = 45,869,011.97
  5. Step 5: Solve for x
    x = 45,869,011.97/7,683.04
  6. Step 6: Final answer
    x = 5,970.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.